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van Vuuren, Eurika Jansen; Herzog, Moritz; Fritz, Annemarie – South African Journal of Childhood Education, 2018
Background: Several studies have shown the influence of mathematical knowledge on both individual opportunities and chances for a self-determined and prosperous life as well as the welfare of nations. Against this background, the contents of maths education in the foundation phase as well as the way in which it is conveyed gain importance. While…
Descriptors: Foreign Countries, Mathematics Instruction, Number Concepts, Early Childhood Education
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Fritz, Annemarie; Balzer, Lars; Herholdt, Roelien; Ragpot, Lara; Ehlert, Antje – South African Journal of Childhood Education, 2014
This article presents the translation and adaptation process of a mathematics test for the acquisition of key mathematical (arithmetic) concepts by children from four to eight years of age. The origin of this test was in Germany, whence it was sourced by researchers at the University of Johannesburg. A conceptual model of hierarchical mathematics…
Descriptors: Foreign Countries, Mathematics Tests, Grade 1, Elementary School Mathematics
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Arndt, Dominique; Sahr, Katleen; Opfermann, Maria; Leutner, Detlev; Fritz, Annemarie – South African Journal of Childhood Education, 2013
Recent studies showed that kindergarten children solve addition, subtraction, doubling and halving problems using the core system for the approximate representation of numerical magnitude. In Study 1, 34 first-grade students in their first week of schooling solved approximate arithmetic problems in a number range up to 100 regarding all four basic…
Descriptors: Arithmetic, Mathematics Skills, Grade 1, Elementary School Students
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Fritz, Annemarie; Ehlert, Antje; Balzer, Lars – South African Journal of Childhood Education, 2013
A common theme of models of conceptual growth is to establish the hierarchical structures of abilities that can be interpreted along developmental lines. Integrating the literature on the development of mathematical concepts and skills in children, a comprehensive 6 level model for describing, explaining and predicting the development of key…
Descriptors: Mathematical Concepts, Item Response Theory, Comparative Analysis, Mathematics Education
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Ehlert, Antje; Fritz, Annemarie – South African Journal of Childhood Education, 2013
In the German school system, children are seen as educationally impaired when they are more than two grades behind in their performance in several areas of learning, and this has been the case for several years. A special problem is the fact that support measures are often effective only to a limited extent, or only for a short period. The study…
Descriptors: Learning Disabilities, Numeracy, Grade 3, Grade 1
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Langhorst, Petra; Ehlert, Antje; Fritz, Annemarie – South African Journal of Childhood Education, 2013
Mathematical development processes begin long before school starts and the importance of previous mathematical knowledge for later school achievements is beyond dispute. For a suitable pre-school education, the focus of interest must be to find out which early learning processes prepare children best. In this article, the acquisition of the key…
Descriptors: Mathematics Education, Language Processing, Mathematical Concepts, Numeracy